The equation is .
(Distribute 6)
(Multiply:
)
(Apply distributive property:
)
(Multiply:
)
Apply addition property of equality: Add 30 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Apply commutative property of addition:
)
(Add: 20 + 30 = 50)
Apply subtraction property of equality: If a = b then .
(Subtract 6y from each side)
(Apply commutative property of addition:
)
(Apply additive inverse property:
)
0 = 50 (Apply additive identity property: )
The statement 0 = 50 is never true.
\The equation has no solutions and the solution set is .
The statement 0 = 50 is never true.
\The equation has no solutions and the solution set is .